BooksStandalone TitlesCollected Volumepp. 555–572

Ramsey-theoretic analysis of the conditional structure of weakly-null sequences

  • Stevo Todorčević

    University of Toronto, Canada
Ramsey-theoretic analysis of the conditional structure of weakly-null sequences cover
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Abstract

Understanding the possible conditional structure in a given weakly-null sequence (xi)(x_i) in some normed space XX lies in the heart of several classical problems of this area of mathematics. We will expose the set-theoretic and Ramsey-theoretic methods relevant to both the lack and the existence of this conditional structure. We will concentrate on more recent results and will point out problems for further study.